My baby is 2 months old now and she can sleep through the night most of the time (from 12 to 5 or 6). I always pump out the milk and let my husband to feed her before she goes to sleep, so I can make sure how much she drinks. Othertime, I will feed her directly.
My baby is born 1 week earlier than yours and now she has already build up a schedule of feeding around every 3-4 hours. She can usually sleep till 5 to 6 am. I thought she has quited to drink at midnight, but yesterday she woke up again at 4am
:-(